Transients and oscillations in the repulsive magnetic levitation system

A repulsive levitation system consisting of a finite number of vehicle coils and an infinite number of short circuited coils on the ground is treated with two degrees of freedom. All self- and mutual inductances are calculated three-dimensionally. A set of seven simultanious differential- and integral equations is obtained, which is solved numerically. As an example, a nullflux system for a high speed train with 150 and 500 km/h has been investigated. At the steady state, the losses, lift- and traction forces and their pulsations have been calculated. Transients due to sudden wind forces or track irregularities are also dealt with. The damping of the vehicle oscillations due to disturbances becomes poorer with increasing vehicle speed.